Please write c++ program to explain each question! Thanks in advance!

3. a. (i) Compare the accuracy of the following three formulas for approxi- mating the derivative, f'(x): Mi(n) = f(x + h) f(x) h ) Mach)-f(x+h)-f( x 2h Mach) -f(x + 2h) + 4f (x + h) - 3f (x) 2h In particular, test the above approximations when f(x) = x/3, x = 0 or r = 1, and h = 10-P, p = 3, 4, 5,..., 20. (ii) As his decreased, the error becomes smaller, until a critical value of h is reached, after which point the error starts to increase as h decreases. Find the critical h, herit, experimentally. Note: in order to avoid problems in evaluating 24/3 when I